What is the Greatest Common Factor of 90735 and 90750?

Greatest common factor (GCF) of 90735 and 90750 is 15.

GCF(90735,90750) = 15

We will now calculate the prime factors of 90735 and 90750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90735 and 90750.

How to find the GCF of 90735 and 90750?

We will first find the prime factorization of 90735 and 90750. After we will calculate the factors of 90735 and 90750 and find the biggest common factor number .

Step-1: Prime Factorization of 90735

Prime factors of 90735 are 3, 5, 23, 263. Prime factorization of 90735 in exponential form is:

90735 = 3¹ × 5¹ × 23¹ × 263¹

Step-2: Prime Factorization of 90750

Prime factors of 90750 are 2, 3, 5, 11. Prime factorization of 90750 in exponential form is:

90750 = 2¹ × 3¹ × 5³ × 11²

Step-3: Factors of 90735

List of positive integer factors of 90735 that divides 90735 without a remainder.

1, 3, 5, 15, 23, 69, 115, 263, 345, 789, 1315, 3945, 6049, 18147, 30245

Step-4: Factors of 90750

List of positive integer factors of 90750 that divides 90735 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 121, 125, 150, 165, 242, 250, 275, 330, 363, 375, 550, 605, 726, 750, 825, 1210, 1375, 1650, 1815, 2750, 3025, 3630, 4125, 6050, 8250, 9075, 15125, 18150, 30250, 45375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90735 and 90750. The biggest common factor number is the GCF number.
So the greatest common factor 90735 and 90750 is 15.

Also check out the Least Common Multiple of 90735 and 90750